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Finding the Third Proportional to 30,178,505 and 47,864,978

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Solution

The third proportional to 30,178,505 and 47,864,978 is: 75,916,819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,178,505 : 47,864,978 = 47,864,978 : x
  2. Step 2: Convert to fraction form
    30,178,505/47,864,978 = 47,864,978/x
  3. Step 3: Cross multiply
    30,178,505x = 47,864,978 × 47,864,978
  4. Step 4: Simplify right side
    30,178,505x = 2,291,056,118,940,484
  5. Step 5: Solve for x
    x = 2,291,056,118,940,484/30,178,505
  6. Step 6: Final answer
    x = 75,916,819.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.